6533b7d2fe1ef96bd125eae6

RESEARCH PRODUCT

Resonant Transitions Due to Changing Boundaries

Benedetto MilitelloFabio AnzaAntonino Messina

subject

Statistics and ProbabilityPhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciFOS: Physical sciencesBoundary (topology)Statistical and Nonlinear PhysicsBoundary conditionMechanics01 natural sciencesSettore FIS/03 - Fisica Della Materia010305 fluids & plasmastunneling0103 physical sciencesParticlemoving BoundarieQuantum Physics (quant-ph)010306 general physicsMathematical Physics

description

The problem of a particle confined in a box with moving walls is studied, focusing on the case of small perturbations which do not alter the shape of the boundary (\lq pantography\rq). The presence of resonant transitions involving the natural transition frequencies of the system and the Fourier transform of the velocity of the walls of the box is brought to the light. The special case of a pantographic change of a circular box is analyzed in dept, also bringing to light the fact that the movement of the boundary cannot affect the angular momentum of the particle.

https://doi.org/10.1142/s1230161219500069